Keeping in within the averages and spread theme this week I have created a Crossover problem with mean and FDP. This enables students to practise their skills of addition, multiplication, subtraction and division of fractions decimals and percentages as well as testing their knowledge of equivalence between FDP, mixed number fractions and mean. Plenty of fluency, reasoning and problem solving. Let me know what you think!

Rounding up the weeks crossover problems with this final one on Median and FDP topics. What is good about bringing Median and FDP together is that students need to be able to order their FDP, sometimes this will mean they have to get it so that the fractions all have equivalent denominators, or they may find it easier to change them all to decimals and then answer from there. Designed to be either a designated piece of classroom work, homework or assessment. Let me know what you think!

Students find mean and median the hardest to compute when calculating with numbers, this resource is designed to test them when calculating with expressions. Therefore collecting like terms, expanding double and triple brackets, simplifying fractions is a key skill needed for todays crossover problem. As with yesterday’s resource this is primarily concentrating on expressions where the unknown is positive, again challenge is there for unknown’s that are negative creating a good discussion with your student/s.

his week’s theme for crossover problems is algebra with number and averages and spread. The focus of these ensures that students can build a bridge between these sub topics which are often looked at separately. Today’s crossover problem focusses on algebra and number, specifically looking at identifying when a number is a square, cube, even, odd or multiple. This resource can be used as an extension, homework, group task, single task, or taken apart into smaller tasks. However, when you use it, it will build on foundations needed to fully understand proof questions at GCSE.

Thursday’s crossover problem looks at connecting, mean, median, mode and range with algebra. The expressions are linear to allow students to grasps using averages and spread together to find unknown expressions. There is room for challenge, asking students to think about what would happen if the unknown was negative, or from the answers can they identify which of these would be an even or odd integer and what conditions would they need to be. Part 2 includes polynomials and simplifying algebraic terms. Students are asked to fine the mean, mode, median and range of five cards. However the expressions on the cards are not simplified and involve expanding double and triple brackets.

Today’s crossover problem concentrates on expressions with mode and range, students are given expressions of which they have to identify mode and range and of these expressions. Students have to really think about what each expression means, some use of substitution may be used so that they can see which expression is larger and are able to order the expressions. An assumption has been made when calculation the answers that the unknown is a positive unknown, challenge has been placed in the activity for students to think about what would be different if the unknown is now negative, a good discussion point to have with your students.

Today’s crossover resource focusses on mean with factors, multiples, negatives, squares, primes and cubes. There is an element of fluency reasoning and problem solving throughout the questions. Take a look, have a go yourself and let me know what you think. Feedback Welcome!

The next crossover resource incorporates median with factors, multiples, squares, negatives, primes and cubes. It involves plenty of practise with problem solving, fluency and reasoning. All these resources can be used as a classroom piece of work, homework, assessment, broken up to mini-tasks, starters or differentiated resource. I welcome any feedback.

This is the third in the crossover problems designed to promote crossover problems between topics in mathematics. This concentrates on mode and range with number topics such as factors, multiples, squares and primes. This can be used with crossover with median and number, and crossover with mean and number. I welcome any feedback!

A lesson designed to consolidate knowledge on calculating volume. I have used this with a class of year 10s and they were all engaged. I played a short video, which could be found at https://www.youtube.com/watch?v=Lwc6QklQGFw and designed this sheet for the pupils to work through. At the beginning they have to predict whether the bowling balls will float. Then after working through the activity I played the remainder of the video showing, which bowling balls did float.